GATE EE 2018 Set 1 — Question 44

MCQ+2 / -0.67MediumRouth-Hurwitz CriterionStability AnalysisControl Systems

Control Systems → Stability Analysis → Routh-Hurwitz Criterion

Last updated 5 September 2026

Question

s^7 + s^6 + 7s^5 + 14s^4 + 31s^3 + 73s^2 + 25s + 200

P(s) = s^7 + s^6 + 7s^5 + 14s^4 + 31s^3 + 73s^2 + 25s + 200

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

P(s) = s^7 + s^6 + 7s^5 + 14s^4 + 31s^3 + 73s^2 + 25s + 200

Row	$s^7$	$s^5$	$s^3$	$s^1$
$s^7$	1	7	31	25
$s^6$	1	14	73	200
$s^5$	-7	-42	-175	0
$s^4$	8	48	200	0

Row	Col 1	Col 2
$s^3$	4	12
$s^2$	24	200
$s^1$	-21.33	0
$s^0$	200	0

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.